778.5 is what percent of 1980.44 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1980.44 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1980.44, so we can write it down as 100%=1980.44.
4. We know, that x% equals 778.5 of the output value, so we can write it down as x%=778.5.
5. Now we have two simple equations:
1) 100%=1980.44
2) x%=778.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1980.44/778.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 778.5 is what percent of 1980.44

100%/x%=1980.44/778.5
(100/x)*x=(1980.44/778.5)*x       - we multiply both sides of the equation by x
100=2.54391779062*x       - we divide both sides of the equation by (2.54391779062) to get x
100/2.54391779062=x
39.3094463857=x
x=39.3094463857

now we have:
778.5 is 39.3094463857% of 1980.44